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The Problem of Reducing Subspaces for a Class of Reproducing Kernel Spaces
Author: YangSiSi
Tutor: DuanYongJiang
School: Northeast Normal University
Course: Basic mathematics
Keywords: polydisc reproducing function space with U-invariant kernel reducing subspace
CLC: O177
Type: Master's thesis
Year: 2011
Downloads: 4
Quote: 0
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Abstract
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In this paper, first we introduce some results of the reducing subspaces of weighted shift operators andweighted Bergman space over unit polydisc respectively. Then we study the reducing subspaces of a classof reproducing kernel spaces, and a complete classification of the minimal reducing subspaces of weightedunilateral shift operators of finite multiplicity on this class of reproducing kernel spaces is obtained.
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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Functional Analysis
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